The problem occurs in that both programmers and our tools are terrible at guessing when such order dependencies will occur, except when working with "embarrassingly parallel" tasks.
The default should be message passing concurrency, as Go advocates -- which of course can be done with simple threads and queues. Unfortunately in C++ that leads to tricky memory management issues.
That said, you can still have a data race with "immutable" data at the thread level as well.
For example, we have a system which has A processing threads, whose results are collated by the master and passed to a set of B processing threads. All of these threads use message passing and an immutable view of the master's environment which determines their behavior.
A command comes in which changes the master's environment, and the master sends the A and B threads a "die" command and waits for the flow of data out of the threads to stop. It then spins up new A threads and B threads to process the data with the new environment.
The data race appears when some old A threads become blocked on some external resource or are just unlucky in scheduling, passing data based off of outdated assumptions to the new B processors will be attempting to process data from the original A threads which have the wrong view of data.
The solution in this case is obvious - set up new queues, or more authoritatively kill off old threads, or change a parameter in the messages being passed, or pass the entire state from thread to thread, or... but the solutions to the problems outlined in the OP are also obvious, once the race condition is identified.
Message passing is another way of dealing with the 'shared,' too. But especially with the new RFC that just landed, Rust has some pretty amazing capabilities in this space that should make it incredibly useful for concurrency. And because it's based in the type system, not the language itself, you can take advantage of that safety and write your own concurrency abstraction with the same guarantees, esentially for free.
Though it is admittedly a fair bit more sane for most applications.
It still isn't "easy", but at least it's back in the realm of feasible.
The problems you see with memory races (e.g. publishing a pointer to a structure which does not have all its construction memory stores retired) are at a different level of strangeness, however.